1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariulka [41]
3 years ago
13

What are the coordinates of the vertex of the quadratic function having a minimum value of –1 and roots located at (–3, 0) and (

–5, 0)?
plz help I'm really lost!
Mathematics
1 answer:
makkiz [27]3 years ago
6 0

Answer:

The coordinates of the vertex will be (-4,-1)

Step-by-step explanation:

Let's recall that the vertex is in the middle point of the roots of a quadratic function.

The root are <u>(-3,0) and (-5,0) </u>so the x-value of the vertex will be:

x_{vertex}=\frac{-5-(-3)}{2}-3

x_{vertex}=-1-3=-4

The y-value of the vertex is given by the minimum value, that is -1

Therefore, the coordinates of the vertex will be (-4,-1)      

I hope it hleps you!

You might be interested in
Find the length of the third side. If necessary, round to the nearest tenth
Lilit [14]

\huge\bold{Given:}

Length of the base = 8

Length of the hypotenuse = 17

\huge\bold{To\:find:}

The length of the third side ''x".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\purple{x\:=\: 15}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

\longrightarrow{\blue{}} {x}^{2} + (8)² = (17)²

\longrightarrow{\blue{}} {x}^{2} + 64 = 289

\longrightarrow{\blue{}}  {x}^{2} = 289 - 64

\longrightarrow{\blue{}}  {x}^{2} = 225

\longrightarrow{\blue{}}  x = \sqrt{225}

\longrightarrow{\blue{}}  x = 15

Therefore, the length of the missing side x is 15.

\huge\bold{To\:verify :}

\longrightarrow{\green{}} (15)² + (8)² = (17)²

\longrightarrow{\green{}} 225 + 64 = 289

\longrightarrow{\green{}} 289 = 289

\longrightarrow{\green{}} L.H.S. = R. H. S.

Hence verified.

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}

3 0
2 years ago
I need help agen plz my teachers are still asking me to stay
luda_lava [24]

Answer:

y = 7x^2  + 42x + 64

Step-by-step explanation:

... i know standard form, you just distribute the exponent to the parenthesis amounts and put it in order, hope it helps

5 0
3 years ago
Read 2 more answers
A 12 ft ladder is leaning against a wall with an angle of elevation of 31.2 degrees. How high up the wall will the ladder reach?
Tom [10]

Answer:

12/sin90'=b/sin67'

12sin67'=bsin90'

b=12sin67/sin90'

Step-by-step explanation:

sister ,we can use the law of sines. since we have the angle of elevation and assume the wall makes a right  angle with the ground, our angle opposite the ground is 180-[90+23=67

hope this is  helpful for you

8 0
3 years ago
I need help on solving these types of geometry problems! Teacher said the answer is 7 but I have to show work. Thank you!
Nikolay [14]

The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.

This means

82^\circ=m\angle 2

\implies82=10x+12

\implies10x=70

\implies\boxed{x=7}

4 0
3 years ago
What's the value of 6x to the second power +4x+8, when x=7
lidiya [134]
6(7)^2+4(7)+8=y
6(49)+28+8=y
294+28+8=y
330=y
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the equation 9-x2=9
    13·1 answer
  • Find the solution of the system of equations shown on the graph.
    11·1 answer
  • what is the difference between the surface areas of the Pyramid of Khafre and the Pyramid of Menkaure?
    6·1 answer
  • Solve -12 = z ÷ 3 for z. z =
    11·2 answers
  • What is the mean number of cakes jenny bakes in a month
    9·2 answers
  • Select all the expressions that are equivalent to 4 − x.
    13·2 answers
  • Anyone know how to do this?
    10·1 answer
  • 3.
    6·1 answer
  • Evaluate the expression when y=6 y²-9y-7
    10·1 answer
  • Please help meee urgent
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!